- #1
Macleef
- 30
- 0
Homework Statement
An ant of negligible dimensions start at the origin (0,0) of the standard 2-dimensional rectangular coordinate system. The ant walks one unit right, then one-half unit up, then one-quarter unit left, then one-eighth unit down, etc. In each move, it always turn counter-clockwise at a 90 degree angle and goes half the distance it went on the previous move. Which point (x,y) in the xy-plane in the ant approaching in its spiraling journey?
Homework Equations
I think you use the geometric series to solve this problem?
The Attempt at a Solution
I don't have an attempt at this problem because I don't know where to begin!
I don't know how to solve this problem! All I know is you use the geometric series??
And if you do, how would you go solve this problem with the geometric series?
The answer is: (4/5 , 2/5)